1353227805072 has 320 divisors, whose sum is σ = 4619686821120. Its totient is φ = 378523860480.

The previous prime is 1353227805001. The next prime is 1353227805079. The reversal of 1353227805072 is 2705087223531.

1353227805072 is a `hidden beast` number, since 1 + 3 + 53 + 22 + 78 + 0 + 507 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (1353227805079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4868638 + ... + 5139074.

It is an arithmetic number, because the mean of its divisors is an integer number (14436521316).

Almost surely, 2^{1353227805072} is an apocalyptic number.

1353227805072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1353227805072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2309843410560).

1353227805072 is an abundant number, since it is smaller than the sum of its proper divisors (3266459016048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1353227805072 is a wasteful number, since it uses less digits than its factorization.

1353227805072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270490 (or 270466 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 1353227805072 in words is "one trillion, three hundred fifty-three billion, two hundred twenty-seven million, eight hundred five thousand, seventy-two".